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Finding the Third Proportional to 235,368 and 348,480

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Solution

The third proportional to 235,368 and 348,480 is: 515,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,368 : 348,480 = 348,480 : x
  2. Step 2: Convert to fraction form
    235,368/348,480 = 348,480/x
  3. Step 3: Cross multiply
    235,368x = 348,480 × 348,480
  4. Step 4: Simplify right side
    235,368x = 121,438,310,400
  5. Step 5: Solve for x
    x = 121,438,310,400/235,368
  6. Step 6: Final answer
    x = 515,950.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.